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Simplifying 13x2 + 43x + 69 = 0 Reorder the terms: 69 + 43x + 13x2 = 0 Solving 69 + 43x + 13x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 13 the coefficient of the squared term: Divide each side by '13'. 5.307692308 + 3.307692308x + x2 = 0 Move the constant term to the right: Add '-5.307692308' to each side of the equation. 5.307692308 + 3.307692308x + -5.307692308 + x2 = 0 + -5.307692308 Reorder the terms: 5.307692308 + -5.307692308 + 3.307692308x + x2 = 0 + -5.307692308 Combine like terms: 5.307692308 + -5.307692308 = 0.000000000 0.000000000 + 3.307692308x + x2 = 0 + -5.307692308 3.307692308x + x2 = 0 + -5.307692308 Combine like terms: 0 + -5.307692308 = -5.307692308 3.307692308x + x2 = -5.307692308 The x term is 3.307692308x. Take half its coefficient (1.653846154). Square it (2.735207101) and add it to both sides. Add '2.735207101' to each side of the equation. 3.307692308x + 2.735207101 + x2 = -5.307692308 + 2.735207101 Reorder the terms: 2.735207101 + 3.307692308x + x2 = -5.307692308 + 2.735207101 Combine like terms: -5.307692308 + 2.735207101 = -2.572485207 2.735207101 + 3.307692308x + x2 = -2.572485207 Factor a perfect square on the left side: (x + 1.653846154)(x + 1.653846154) = -2.572485207 Can't calculate square root of the right side. The solution to this equation could not be determined.
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